Is 1031 a prime number? What are the divisors of 1031?

## Is 1031 a prime number?

Yes, 1031 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 1031, the only two divisors are 1 and 1031. Therefore 1031 is a prime number.

As a consequence, 1031 is only a multiple of 1 and 1031.

Since 1031 is a prime number, 1031 is also a deficient number, that is to say 1031 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 1031 without 1031 itself (that is 1, by definition!).

## Parity of 1031

1031 is an odd number, because it is not evenly divisible by 2.

## Is 1031 a perfect square number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 1031 is about 32.109.

Thus, the square root of 1031 is not an integer, and therefore 1031 is not a square number.

Anyway, 1031 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 1031?

The square of a number (here 1031) is the result of the product of this number (1031) by itself (i.e., 1031 × 1031); the square of 1031 is sometimes called "raising 1031 to the power 2", or "1031 squared".

The square of 1031 is 1 062 961 because 1031 × 1031 = 10312 = 1 062 961.

As a consequence, 1031 is the square root of 1 062 961.

## Number of digits of 1031

1031 is a number with 4 digits.

## What are the multiples of 1031?

The multiples of 1031 are all integers evenly divisible by 1031, that is all numbers such that the remainder of the division by 1031 is zero. There are infinitely many multiples of 1031. The smallest multiples of 1031 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 1031 too, since 0 × 1031 = 0
• 1031: indeed, 1031 is a multiple of itself, since 1031 is evenly divisible by 1031 (we have 1031 / 1031 = 1, so the remainder of this division is indeed zero)
• 2 062: indeed, 2 062 = 1031 × 2
• 3 093: indeed, 3 093 = 1031 × 3
• 4 124: indeed, 4 124 = 1031 × 4
• 5 155: indeed, 5 155 = 1031 × 5
• etc.

## Nearest numbers from 1031

Find out whether some integer is a prime number